YES
O(n^2)
TRS:
 {
     a(c(d(x))) -> c(x),
  u(b(d(d(x)))) -> b(x),
        v(c(x)) -> b(x),
     v(a(c(x))) -> u(b(d(x))),
     v(a(a(x))) -> u(v(x)),
        w(c(x)) -> b(x),
     w(a(c(x))) -> u(b(d(x))),
     w(a(a(x))) -> u(w(x))
 }
 Natural interpretation:
  Strict:
   {
       a(c(d(x))) -> c(x),
    u(b(d(d(x)))) -> b(x),
          v(c(x)) -> b(x),
       v(a(c(x))) -> u(b(d(x))),
       v(a(a(x))) -> u(v(x)),
          w(c(x)) -> b(x),
       w(a(c(x))) -> u(b(d(x))),
       w(a(a(x))) -> u(w(x))
   }
  Weak:
   {}
  Interpretation class: deltarestricted
  [w](delta, X0) = + 0*X0 + 0 + 1*X0*delta + 0*delta
  [v](delta, X0) = + 0*X0 + 0 + 1*X0*delta + 0*delta
  [u](delta, X0) = + 0*X0 + 0 + 1*X0*delta + 0*delta
  [b](delta, X0) = + 0*X0 + 0 + 1*X0*delta + 0*delta
  [d](delta, X0) = + 1*X0 + 0 + 0*X0*delta + 1*delta
  [a](delta, X0) = + 1*X0 + 1 + 0*X0*delta + 0*delta
  [c](delta, X0) = + 1*X0 + 1 + 0*X0*delta + 0*delta
  w_tau_1(delta) = delta/(0 + 1 * delta)
  v_tau_1(delta) = delta/(0 + 1 * delta)
  u_tau_1(delta) = delta/(0 + 1 * delta)
  b_tau_1(delta) = delta/(0 + 1 * delta)
  d_tau_1(delta) = delta/(1 + 0 * delta)
  a_tau_1(delta) = delta/(1 + 0 * delta)
  c_tau_1(delta) = delta/(1 + 0 * delta)
  
  Qed